ent, find a linear relation. a) vi = (2, 1, 0), V2 = (0, 1,0), V3 = (-1,2,0) %3D b) wi = (1,2, –2), W2 = (3, 1, 0), W3 = (2, –1, 1), W4 = (4, 3, –2)

Q: 10. S= {r² + 3r +1, 2r? +r – 1,4r +1} is: a. a linearly independent set of P2. b. a linearly…

A:

Q: Determine whether the set S is linearly independent or linearly dependent.S = {(1, 0, 0), (0, 4, 0),…

A: We can write (1,5,-3) as:

Q: Which of the following sets in R is linearly dependent? 36- OA {(2,0, 1), (0,4, -1), (0, 5, 1)}…

A:

Q: Which of the following sets is linearly independent? M={(1,3,4), (1,2, 5), (- 1 ,0,-2)} O M-((1,…

A:

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(-2, 2, 3), (2, 9,…

A: Solution: The vectors will be linearly independent if the system has only the trivial solution.

Q: Which of the following sets is linearly independent? * O M={ (3,6 ).(6,12),(1,2)} O M={…

A:

Q: Determine whether the set S is linearly independent or linearly dependent. S={(2, 1, 6), (3, 2, -1)}…

A:

Q: b = Find whether {a, b} linearly independent or not. 5. Let a are

A: Given a = 20 , b = 07

Q: 3 0 Determine whether the set S = 0. CEE is linearly independent %3D or linearly dependent. O…

A: Linearly independent

Q: Which of the following sets is linearly independent? O None of these O M={ (1,1,3),(3,2, 0), (4,5 ,…

A: hello greetings from bartelby.i am here to help you.

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(-6, -2,4), (3, -3,…

A:

Q: Determine whether the set S is linearly independent or linearly dependent. s- ( ((-} 3 3 S = 4, 3 O…

A: Solution:-

Q: Q4) Determine whether the set S is linearly independent or linearly dependent a) S = {(2,1,–2), (–2,…

A: We have to check whether the set S is linearly independent or linearly dependent.

Q: Determine whether the set S is linearly independent or linearly dependent. S={(2, 1, 6), (3, 2, -1)}…

A: Given S=(2,1,6),(3,2,-1)  Need to determine whether the set S is linearly independent or linearly…

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(2, 6, 1), (3, -1,…

A: When two vectors are linearly dependent one vector can be written in scalar multiple of other.

Q: Determine whether the set S is linearly independent or linearly dependent.S = {(−2, 2), (3, 5)}

A:

Q: Determine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} .…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(3, 0, 0), (0, 8,…

A: As  dim(ℝ3)=3 So, the set of 4 vectors in ℝ3 linearly dependent.

Q: Determine whether the set {P₁, P2, P3} is linearly independent in P2, where p₁ = 2+x+3x² + 4x³, p₂ =…

A:

Q: Which of the following sets in R³ is linearly independent? {(2,0, 1), (0, 4, –1), (2, 4, 0)} O A)…

A:

Q: Which of the following sets is linearly independent? * O M={ (1,0,1),(3,0,3), (0, 0, 0) } O…

A: ANSWER :

Q: (a) {(1,0,0), (5,5, 0), (3, 3, 3)} (b) {(2,5,4), (–2, 1, 0)} (c) {(-3,2,1), (0, 0, 0) , (1, 2, –3)}…

A:

Q: The set is .I linearly independent. .II Neither linearly independent nor linearly dependent. .III…

A: I have proved T is the linearly dependent set

Q: Which of the following sets is linearly independent? * M={ (1,0,1),(3,0,3),(0,0, 0) } O M={…

A:

Q: Which of the following sets is linearly independent? * O M={ (3,6),( 6,12), (1,2) } O M={…

A:

Q: Determine whether the set S is linearly independent or linearly dependent.S = {(1, 0), (1, 1), (2,…

A:

Q: Q4) Determine whether the set S is linearly independent or linearly dependent a) S = {(2,1,–2),…

A:

Q: Directions: Compute for the x, &, and (x, - 8). Return Year Stock Price (x, - x)2 30/01/2019…

A: Given the data as Year  Stock Price 30/01/2019 316 28/02/2019 307.8 31/03/2019 317…

Q: By inspection, determine why each of the sets is linearly dependent.(a) S = {(1, −2), (2, 3), (−2,…

A:

Q: Which of the following sets is linearly independent? O M={ (1,3,4),(1,2,5),(3,0,6)} O M={…

A:

Q: 3- Show that {(1, 1, 0), (0, 1, 1), (1, 2, 1)} is a linearly dependent set in R3. (H.W)

A:

Q: Which of the following sets is linearly independent? * O M={(1,3,4),(1,2,5),(-1,0,-2)} O M={(1,1…

A:

Q: 1. yı(t) = 2t – 3, 2(t) = t² + 1, y3 = 212 - t %3D 2. y1(t) = 2t – 3, y2(t) = 12 +1, y3 = 212 – t,…

A:

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(4, 0, 0), (0, 7,…

A: Linearly dependent.

Q: Determine if the set of functions {e* , xe* , x²e* }is linearly independent or linearly dependent. O…

A:

Q: Given A = (1, 2, 3, 4) and B = (x, y, z). Let 7? be the following relation from A to B: R =…

A: To represent a relation from A to B in matrix form  is given by

Q: Which of the following sets is linearly independent in P, ? {1-x,0,-3x + 1} (-1+2x, 5x², -2 +4x} the…

A:

Q: Find the value of x so that the following are linearly dependent in R³. (1, –1,0), (-1, x, 0), (0,2,…

A:

Q: Which of the following sets is linearly independent?' None of these M=((1,1,3),(3,2, 0).(4.5.6)}…

A: Which of the following sets is linearly independent? None of these M=((1, 1, 3), (3,2,0), (4,5,6))…

Q: which of the pollowing sets contain functions that are linearly independent ? C3x (3x -1 x+2, 4x) a.…

A: We have to find

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(7, 0, 0), (0, 9,…

A: Given the set S=(7,0,0),(0,9,0),(0,0,-8),(7,5,-4) We need to check whether the set S is linearly…

Q: In writing v as a linear combination of u ,u, &u, ( if possible) given: y = (3,0, – 6) , u , = (1, –…

A: The given vectors,v=3,0,-6, u1=1,-1,2, u2=2,4,-2, u3=1,2,-4

Q: Which of the following sets is linearly independent? * O None of these O M={(1,3,4).(1,2,…

A:

Q: Determine whether the set S is linearly independent or linearly dependent. S= {(8, 0, 0), (0, 7, 0),…

A: Given  S= { (8,0,0), (0,7,0), (0,0,-2), (8,5,-1)}

Q: Which of the following sets is linearly independent? M=( (1,2),(2,4), (-1,2)} M=((1,0,1),(3,0,3),…

A: M=1,2,2,4,-1,2   As 2,4=21,2+0-1,2 which means 2,4 can be written as linear combination of 1,2, -1,2…

Q: Use the function to find (a) the image of v and (b) the preimage of w.

A: Given: Function  T(v1,v2)=22v1-22v2,v1+v2,2v1-v2v=(1,1), w=(-52,-2,-16)

Q: Decide whether (t) = t + 3, 2(t) = t² – t, 3 =t + 3 are linearly independent or linearly dependent.…

A: Given that                           y1(t)=t2+3, y2(t)=t2-t, y3(t)=t+3

Q: Which of the following sets is linearly independent? O M={ (1, 2), (2.4)(1,2)} None of these O…

A:

Q: Determine whether the set S is linearly independent or linearly dependent. S- {(-4, -3, 5), (2, -2,…

A:

Q: Which of the following sets is linearly independent in R ? O ((0,1,1), (0, –2, -2), (0,3,3)} O…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.